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Effect of imperfections on the elastic modulus of demi-regular lattices
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School of Engineering |
Master's thesis
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en
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44
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Abstract
Lattice materials are increasingly common in applications that require strong but lightweight materials. Novel manufacturing techniques allow us to tailor these materials in great detail. In addition to regular topologies, demi-regular lattices show promise for ultra-lightweight applications due to their high elastic buckling strength. The properties of regular lattice topologies are extensively studied and well known, but research on demi-regular lattices is still ongoing and some of their properties remain unexplored. The elastic modulus of ideal demi-regular lattices has been studied before, but it would be beneficial to know how it is affected by imperfections in the lattice structure.
The aim of this thesis is to study the imperfection sensitivity of the elastic modulus of three demi-regular lattices notated as lattice A, B and C. The imperfections are introduced to the lattice structure in the form of randomly displaced nodes. The relationship between the modulus and the degree of lattice irregularity is determined with FE simulations.
The simulation results indicate that the elastic modulus of demi-regular tessellations decreases when the degree of irregularity grows. Although all of them are more sensitive to the imperfections than triangular and hexagonal topologies, lattice C shows to be more sensitive than A and B. For the highest degree of irregularity used, 50% of the ideal lattice bar length L, the modulus of lattice C was decreased by 47%, while the decrease for A and B was 28% and 34%, respectively. C also has the lowest elastic modulus as an ideal lattice without any imperfections.